Home
Class 12
MATHS
Find the values of x for which expressi...

Find the values of x for which expression `sqrt(1-sqrt(1-sqrt(1-x^(2))))` is meaningful.

Text Solution

Verified by Experts

`sqrt(1-sqrt(1-sqrt(1-x^(2))))` is meaningful if
`1-sqrt(1-sqrt(1-x^(2))) ge 0`
or `sqrt(1-sqrt(1-x^(2))) le 1`
or `1-sqrt(1-x^(2)) le 1`
or `sqrt(1-x^(2)) ge 0`
or `1-x^(2) ge 0`
or `x^(2) le 1 " or "x in [-1,1]`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Find all possible values of expression sqrt(1-sqrt(x^(2)-6x+9)).

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Find the value of x for which following expressions are defined: 1/(sqrt(x-|x|)) (ii) 1/(sqrt(x+|x|))

Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))) .

int sqrt((1-sqrt(x)))/(1+sqrt(x)).(dx)/(x)

If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^2+4sqrt(x y)]//(x+sqrt(x y)) is a. sqrt(2)+1 b. (sqrt(2)+1)/2 c. (sqrt(2)-1)/2 d. (sqrt(2)+1)/(sqrt(2))

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

The value of sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)] is equal to